If a work can be completed by 10 men in 15 days, how many days will it take for

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Question: If a work can be completed by 10 men in 15 days, how many days will it take for 5 men to complete the same work?

Options:

Correct Answer: 40

Solution:

Total work = 10 men * 15 days = 150 man-days. For 5 men, days required = 150 / 5 = 30 days.

If a work can be completed by 10 men in 15 days, how many days will it take for 5 men to complete the same work?

If a work can be completed by 10 men in 15 days, how many days will it take for 5 men to complete the same work?

Step 1: Understand that 'man-days' is a way to measure work. It means how many men are working and for how many days.
Step 2: Calculate the total work in man-days. If 10 men can complete the work in 15 days, then the total work is 10 men * 15 days = 150 man-days.
Step 3: Now, we need to find out how many days it will take for 5 men to complete the same work.
Step 4: Use the total work calculated in Step 2. We have 150 man-days of work to do.
Step 5: Divide the total work by the number of men (5 men) to find the number of days needed. So, 150 man-days / 5 men = 30 days.
Step 6: Conclude that it will take 5 men 30 days to complete the same work.

Work and Time – This problem tests the understanding of the relationship between the number of workers, the time taken, and the total work done, often expressed in man-days.
Inverse Proportionality – The number of days required to complete a task is inversely proportional to the number of workers available.